The values of $\mathrm{m}, \mathrm{n}$, for which the system of equations
$ x+y+z=4 $
$ 2 x+5 y+5 z=17 $
$ x+2 y+m z=n$
has infinitely many solutions, satisfy the equation :
The values of $\mathrm{m}, \mathrm{n}$, for which the system of equations
$ x+y+z=4 $
$ 2 x+5 y+5 z=17 $
$ x+2 y+m z=n$
has infinitely many solutions, satisfy the equation :
- [JEE MAIN 2024]
- A
$m^2+n^2-m-n=46$
- B
$m^2+n^2+m+n=64$
- C
$\mathrm{m}^2+\mathrm{n}^2+\mathrm{mn}=68$
- D
$m^2+n^2-m n=39$
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- [JEE MAIN 2020]
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- [JEE MAIN 2017]